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21004089408 = 2632271313441
BaseRepresentation
bin10011100011111100…
…001111100001000000
32000012210220021222100
4103203330033201000
5321004021330113
613352114310400
71342333546161
oct234374174100
960183807870
1021004089408
1189a9296285
1240a2288400
131c99717293
1410337b9768
1582dea8d73
hex4e3f0f840

21004089408 has 84 divisors (see below), whose sum is σ = 60231101788. Its totient is φ = 6998261760.

The previous prime is 21004089397. The next prime is 21004089409. The reversal of 21004089408 is 80498040012.

It can be written as a sum of positive squares in 2 ways, for example, as 13254456384 + 7749633024 = 115128^2 + 88032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21004089409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1555968 + ... + 1569408.

Almost surely, 221004089408 is an apocalyptic number.

It is an amenable number.

21004089408 is an abundant number, since it is smaller than the sum of its proper divisors (39227012380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21004089408 is a wasteful number, since it uses less digits than its factorization.

21004089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16172 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21004089408 in words is "twenty-one billion, four million, eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2713 5426 8139 10852 13441 16278 21704 24417 26882 32556 40323 43408 48834 53764 65112 80646 86816 97668 107528 120969 130224 161292 173632 195336 215056 241938 260448 322584 390672 430112 483876 520896 645168 781344 860224 967752 1290336 1562688 1935504 2580672 3871008 7742016 36465433 72930866 109396299 145861732 218792598 291723464 328188897 437585196 583446928 656377794 875170392 1166893856 1312755588 1750340784 2333787712 2625511176 3500681568 5251022352 7001363136 10502044704 21004089408